Authors: Dr R.K.Dubey, Mohd Wahid Mansury
Abstract: This Paper analyzed the effects of the cosmological constantΛ in the context of the Bianchi Type I cosmological model. The Bianchi Type I model represents an anisotropic but spatially flat universe, where expansion rates can differ along three spatial directions.This study analyzes the effects of the spatial directions with respect to axes . The cosmological, plays a significant role in the universe expansion. This work aims to understand how influences the expansion, energy density, and anisotropy of the universe. Einstein's field equations with variable cosmological constant if considered in the presence of a perfect fluid for a Bianchi type I universe by assuming that the cosmological term is proportional to the square of the Hubble parameter. The variation law for vacuum density was recently proposed by many researches on the basis of the quantum field estimation in a curved expanding background. The cosmological term tends asymptotically to a genuine cosmological constant and the model tends to a de-Sitter universe. More obtained some new results by using a slightly different method from that of other researchers obtained the result that the present universe is accelerating with a large fraction of cosmological density in the form of a cosmological term.
